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OEIS A000606: Signed trees and their links to rooted and unrooted trees

Author
Mike Breault
Published
Thu 05 Dec 2024
Episode Link
None

In this episode we explore A000606, the OEIS sequence counting signed trees on n nodes. We’ll unpack how signing the edges creates distinct structures, walk through small-n examples, and explain the generating function that connects A000606 to rooted trees (A000151) and unrooted trees (A000238). We’ll also discuss the interplay between signed-tree symmetries and the relationship between rooted and unrooted trees, plus potential applications in computer science and physics.


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